a) \(\dfrac{5}{9}+\dfrac{13}{7}+\dfrac{15}{13}+\dfrac{8}{7}+\dfrac{4}{9}+\dfrac{11}{13}\)

\(=\left(\dfrac{5}{9}+\dfrac{4}{9}\right)+\left(\dfrac{13}{7}+\dfrac{8}{7}\right)+\left(\dfrac{15}{13}+\dfrac{11}{13}\right)\)

\(=1+3+2\)

\(=6\)

b) \(\dfrac{3}{5}+\dfrac{18}{9}+\dfrac{4}{10}\)

\(=0,6+2+0,4\)

\(=\left(0,6+0,4\right)+2\)

\(=1+2\)

\(=3\)

\(a\dfrac{5}{9}+\dfrac{4}{9}+\dfrac{13}{7}+\dfrac{8}{7}+\dfrac{15}{13}+\dfrac{11}{13}=\dfrac{9}{9}+\dfrac{21}{7}+\dfrac{26}{13}=1+3+2=6\)

\(b\dfrac{3}{5}+2+\dfrac{2}{5}=\dfrac{5}{5}+2=1+2=3\)

\(\frac{4}{15}+\frac{8}{13}+\frac{11}{5}+\frac{5}{13}\)

\(=\left(\frac{4}{15}+\frac{11}{15}\right)+\left(\frac{8}{13}+\frac{5}{13}\right)\)

\(=1+1\)

\(=2\)

2,07 + 4,15 + 17,93 + 5,85

= (2,07 + 17,93) + (4,15 + 5,85)

=    20 + 10

= 30

4/15 + 8/13 + 11/5 + 5/13

= 4/15 + 11/15 + 8/13 + 5/13

= 15/15 + 13/13

= 1 + 1 

= 2

2,07 + 4,15 + 17,93 + 5,85

= ( 4,15 + 5,85 ) + ( 2,07 + 17,93 )

= 10 + 20

= 30

\(\frac{4}{15}+\frac{8}{13}+\frac{11}{15}+\frac{5}{13}\)

\(=\left(\frac{4}{15}+\frac{11}{15}\right)+\left(\frac{8}{13}+\frac{5}{13}\right)\)

\(=1+1\)

\(=2\)

2,07 + 4,15 + 17,93 + 5,85

= ( 2,07 + 17,93 ) + ( 4,15 + 5,85 )

= 20 + 10

= 30

\(\frac{13}{19}\times\frac{23}{11}-\frac{13}{19}\times\frac{8}{11}-\frac{13}{19}\times\frac{4}{11}\)

\(=\frac{13}{19}\times\left(\frac{23}{11}-\frac{8}{11}-\frac{4}{11}\right)\)

\(=\frac{13}{19}\times1\)

\(=\frac{13}{19}\)

13/19 x 23/11 - 13/19 x 8/11 - 13/19 x 4/11

= 13/19 x (23/11 - 8/11 - 4/11)

= 13/19 x 1

= 13/19

\(\frac{13}{19}.\frac{23}{11}-\frac{13}{19}.\frac{8}{11}-\frac{13}{19}.\frac{4}{11}\)

\(=\frac{13}{19}.\left(\frac{23}{11}-\frac{8}{11}-\frac{4}{11}\right)\)

\(=\frac{13}{19}.\frac{11}{11}\)

\(=\frac{13}{19}.1\)

\(=\frac{13}{19}\)

\(\dfrac{5}{13}\times\dfrac{7}{11}+\dfrac{5}{13}\times\dfrac{2}{11}+\dfrac{8}{13}\times\dfrac{9}{11}\)

\(=\dfrac{5}{13}\times\left(\dfrac{7}{11}+\dfrac{2}{11}\right)+\dfrac{8}{13}\times\dfrac{9}{11}\)

\(=\dfrac{5}{13}\times\dfrac{9}{11}+\dfrac{8}{13}\times\dfrac{9}{11}\)

\(=\dfrac{9}{11}\times\left(\dfrac{5}{13}+\dfrac{8}{13}\right)\)

\(=\dfrac{9}{11}\times1\)

\(=\dfrac{9}{11}\)

a) \(20,23\times21+20,23\times80-20,23\)

\(=20,23\times\left(21+80-1\right)\)

\(=20,23\times100\)

\(=2023\)

\(\dfrac{5}{13}\) \(\times\) \(\dfrac{7}{11}\) + \(\dfrac{5}{13}\) \(\times\) \(\dfrac{2}{11}\) + \(\dfrac{8}{13}\) \(\times\) \(\dfrac{9}{11}\)

= \(\left(\dfrac{5}{13}\times\dfrac{7}{11}+\dfrac{5}{13}\times\dfrac{2}{11}\right)\)+ \(\dfrac{8}{13}\) \(\times\) \(\dfrac{9}{11}\)

= \(\dfrac{5}{13}\)\(\times\) (\(\dfrac{7}{11}\) + \(\dfrac{2}{11}\)) + \(\dfrac{8}{13}\) \(\times\) \(\dfrac{9}{11}\)

= \(\dfrac{5}{13}\) \(\times\) \(\dfrac{9}{11}\) + \(\dfrac{8}{13}\) \(\times\) \(\dfrac{9}{11}\)

= \(\dfrac{9}{11}\) \(\times\)( \(\dfrac{5}{13}\) +\(\dfrac{8}{13}\))

= \(\dfrac{9}{11}\) \(\times\) 1

= \(\dfrac{9}{11}\)

nhiều thế

sfdhg 

\(\frac{4}{15}+\frac{8}{13}+\frac{11}{15}+\frac{5}{13}\)

\(=\left(\frac{4}{15}+\frac{11}{15}\right)+\left(\frac{8}{13}+\frac{5}{13}\right)\)

\(=\frac{15}{15}+\frac{13}{13}\)

\(=1+1\)

\(=2\)

Chúc bạn học tốt nha !!! 

\(\frac{4}{15}+\frac{8}{13}+\frac{11}{15}+\frac{5}{13}\)

\(=\left(\frac{4}{15}+\frac{11}{15}\right)+\left(\frac{8}{13}+\frac{5}{13}\right)\)

\(=1+1\)

\(=2\)

=(4/15+11/5)+(8/13+5/13)

=37/15+1=52/15

k mink nha

a) ( 2/5 + 3/5) + 7/8

= 5/5 +7/8

= 1+ 7/8

=15/8 ( tính lại hộ mk nha, sợ ko đúng)

b)( 19/11 + 3/11 ) + 5/13

= 22/11 +5/13

= 2 + 5/13

= ...( bn tính nốt nha, vì mk ko có nháp ở đây )

k nha!!!

a) (2/5 + 7/8) + 3/5

= 2/5 + 7/8 + 3/5

= (2/5 + 3/5) + 7/8

= 1 + 7/8

= \(1\frac{7}{8}\)

b) 19/11 + (5/13 + 3/11)

= 19/11 + 5/13 + 3/11

= (19/11 + 3/11) + 5/13

= 2 + 5/13

= \(2\frac{5}{13}\)

\(a,\left(\frac{2}{5}+\frac{7}{8}\right)+\frac{3}{5}\)

\(=\frac{2}{5}+\frac{7}{8}+\frac{3}{5}\)

\(=\left(\frac{2}{5}+\frac{3}{5}\right)+\frac{7}{8}\)

\(=1+\frac{7}{8}\)

\(=\frac{15}{8}\)

\(b,\frac{19}{11}+\left(\frac{5}{13}+\frac{3}{11}\right)\)

\(=\frac{19}{11}+\frac{5}{13}+\frac{3}{11}\)

\(=\left(\frac{19}{11}+\frac{3}{11}\right)+\frac{5}{13}\)

\(=2+\frac{5}{13}\)

\(=\frac{31}{13}\)

`a) 5 / 13 xx 4 / 15 xx 13 = [ 5 xx 4 xx 13 ] / [ 13 xx 5 xx 3 ] = 4 / 3`

`b) ( 3 / 7 + 5 / 2 ) xx 7 / 5 = 3 / 7 xx 7 / 5 + 5 / 2 xx 7 / 5 = 3 / 5 + 7 / 2 = 6 / 10 + 35 / 10 = 41 / 10`

`c) 1 / 5 xx 11 / 18 + 11 / 18 xx 3 / 5 = 11 / 18 xx ( 1 / 5 + 3 / 5 ) = 11 / 18 xx 4 / 5 = [ 11 xx 2 xx 2 ] / [ 2 xx 9 xx 5 ] = 22 / 45`

\(a,\dfrac{5}{13}\times\dfrac{4}{15}\times13=\dfrac{4}{3}\)

\(b,\left(\dfrac{3}{7}+\dfrac{5}{2}\right)\times\dfrac{7}{5}=\left(\dfrac{6}{14}+\dfrac{35}{14}\right)\times\dfrac{7}{5}=\dfrac{41}{14}\times\dfrac{7}{15}=\dfrac{41}{30}\)

\(c,\dfrac{1}{5}\times\dfrac{11}{18}+\dfrac{11}{18}\times\dfrac{3}{5}=\dfrac{11}{18}\times\left(\dfrac{1}{5}+\dfrac{3}{5}\right)=\dfrac{11}{18}\times\dfrac{4}{5}=\dfrac{22}{45}\)